Abstract
In this paper we prove some generalizations of the classical Hasse-Davenport product relation for certain arithmetic factors defined on a p-adic field F, among them one finds the ∈-factors appearing in Tate's thesis. We then show that these generalizations are equivalent to some representation theoretic identities relating the determinant of ramified local coefficients matrices defined for coverings of SL2(F) to Plancherel measures and γ-factors.
| Original language | English |
|---|---|
| Pages (from-to) | 247-267 |
| Number of pages | 21 |
| Journal | Forum Mathematicum |
| Volume | 37 |
| Issue number | 1 |
| DOIs | |
| State | Published - 26 Mar 2024 |
Keywords
- Hasse-Davenport product relation
- Whittaker spaces
- covering groups
- epsilon factors
- gamma factors
- local coefficients matrices
- local factors
All Science Journal Classification (ASJC) codes
- General Mathematics
- Applied Mathematics